Answer:
Step-by-step explanation:
2+5x+53=180
55+5x=180
5x=125
x=25
hope this helps :)
Answer:
Length: 23.38
Width: 3.34
Step-by-step explanation:
First I drew out a diagram so that I could visibly see the problem. [ a rectangle with 7x on one side and x on the other.
So to find the area you multiply length time width and 7x times x is 7x^2. The actual area is given: 78, so you set that equal to 7x^2.
Then you want to divide by 7 to get 11.14. Then you want to take the square root of 11.14 to get 3.338 which rounds to 3.34 {try not to round until the very end]. This gives you the width of the rectangle, so to find the length you would have to multiply x by 7 to get 23.38. When you multiply the length and width (3.34 x 23.38) you get 78.08 which can round to 78.
7x^2 = 78
x^2 = 78/7
x^2= 11.142...
x = sqrt(1.142...)
x = 3.338 --> 3.34 --> width
3.34 x 7 --> 23.38 --> length
3.34 x 23.38 --> 70.8
A. Not collinear. P, B and S do not fall on the same line. P and S do, but B does not
B. Not collinear. The points M and N are on the same green line but S is not on the same line
C. Collinear. The points P, A and Q all fall on the same gold horizontal line at the center of the image.
D. Not collinear. Like with choice B, M and N fall on the lower green line, but P is not on that same line
E. Collinear. All five points E, D, A, B, S all fall on the more vertical blue line
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Final Answers: choice C and choice E
A asymptote
b growth/decay
c initial amount
Answer:
0.022
Step-by-step explanation:
Given that :
Population size = 25000
n = 500 ; p = 0.4
Size of random sample (n) = 500
5% of population size : 0.05 * 25000 = 1250
Distribution is normally distributed since n < 5% of population size
Hence, the mean of the distribution = p = 0.4
Standard deviation = √((pq) /n)
q = 1 - p ; q = 1 - 0. 4 = 0.6
Standard deviation = √((0.4 * 0.6) /500)
Standard deviation = 0.0219089
= 0.022